Suzuki groups Sz\((q)\) and \(2\)-\((v,k,1)\) block designs

DOI10.1007/s11766-002-0032-8zbMath0999.05012OpenAlexW2052351022MaRDI QIDQ1607519

Shenglin Zhou

Publication date: 27 August 2002

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-002-0032-8

zbMATH Keywords

Suzuki groupblock-primitive

Mathematics Subject Classification ID

Combinatorial aspects of block designs (05B05) General theory for finite permutation groups (20B05)

Related Items

Line-primitive linear spaces with Fang-Li parameter \(\text{gcd}(k,r)\) at most 12 ⋮ \(2\)-\((v, k, 1)\) designs admitting automorphism groups with socle \(\mathrm{Sz}(q)\)

Cites Work

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• Homogeneous designs and geometric lattices
• Primitive permutation groups of odd degree, and an application to finite projective planes
• The maximal subgroups of the finite 8-dimensional orthogonal groups \(P\Omega ^ +_ 8(q)\) and of their automorphism groups
• Block transitive automorphism groups of 2-(v,k,1) block designs
• On a theorem of Borel and Tits for finite Chevalley groups
• Line-primitive automorphism groups of finite linear spaces
• On the orbits of collineation groups

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